| 书目名称 | Partial Differential Equations II | | 副标题 | Qualitative Studies | | 编辑 | Michael E. Taylor | | 视频video | | | 概述 | Three volumes offer complete reference to pde’s.Includes both theory and applications.Lots of examples and exercises | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis..The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompress | | 出版日期 | Textbook 2023Latest edition | | 关键词 | Brownian Motion; Potential Theory; Pseudodifferential Operators; Scattering by Obstacles; Spectral Theor | | 版次 | 3 | | doi | https://doi.org/10.1007/978-3-031-33700-0 | | isbn_softcover | 978-3-031-33702-4 | | isbn_ebook | 978-3-031-33700-0Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:15:00
